Geodesic
Quadratic splines smoothing the first derivatives
Applications of Mathematics, Tome 37 (1992) no. 2, pp. 149-156

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The extremal property of quadratic splines interpolating the first derivatives is proved. Quadratic spline smoothing the given values of the first derivative, depending on the knot weights $w_i$ and smoothing parameter $\alpha$, is then studied. The algorithm for computing appropriate parameters of such splines is given and the dependence on the smoothing parameter $\alpha$ is mentioned.
The extremal property of quadratic splines interpolating the first derivatives is proved. Quadratic spline smoothing the given values of the first derivative, depending on the knot weights $w_i$ and smoothing parameter $\alpha$, is then studied. The algorithm for computing appropriate parameters of such splines is given and the dependence on the smoothing parameter $\alpha$ is mentioned.
DOI : 10.21136/AM.1992.104498
Classification : 41A15, 65D05, 65D07, 65D10
Keywords: interpolation; smoothing; quadratic spline 
Kobza, Jiří. Quadratic splines smoothing the first derivatives. Applications of Mathematics, Tome 37 (1992) no. 2, pp. 149-156. doi: 10.21136/AM.1992.104498
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